OMG...little beasties! Home Depot & Lowe's both carry a vinyl-coated polyester pet screen that is 7 times stronger than normal screens. It looks like their stock is limited to black, gray & white. This stuff comes in all sorts of colors and patterns, and it can also be ordered online in various configurations.

Loving your pretty white soft photos of your porch, right up until the ripped up screen!!!...I'm thinking it was one of those silly chipmunks, until you said it was large and as tall as Ms. Fluffy!! Oh my! Well, I do love your porch and I'm sure it will be so lovely to sit out there and enjoy the spring weather, mornings and evenings. It is still too cold here to even think of cleaning up mine, just yet.